Properties of the Number 24689

Twenty-Four Thousand Six Hundred Eighty-Nine

Basics

Value: 24688 → 24689 → 24690

Parity: odd

Prime: No

Previous Prime: 24683

Next Prime: 24691

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 3527

Divisors: 1, 7, 3527, 24689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110000001110001

Octal: 60161

Duodecimal: 12355

Hexadecimal: 6071

Square: 609546721

Square Root: 157.12733689590746

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,0,1,1 for x=0,1,2,3,4. A198155

G.f.: 1/sqrt(1 - 6·x - 7·x²). A322242

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,0,1,1 for x=0,1,2,3,4. A198150

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,0,1,1 for x=0,1,2,3,4. A198154

a(n) = A322242(n)², the square of the central coefficient in (1 + 3·x + 4x²)ⁿ. A322243

Number of set partitions of [n+6] such that n is the largest element of the last block. A271757

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence). A24689